Vectors and matrices
Cross product
A three-dimensional vector perpendicular to two input vectors, with magnitude equal to the parallelogram area they span.
Common notationa×b
In one sentence
What does Cross product mean?
A three-dimensional vector perpendicular to two input vectors, with magnitude equal to the parallelogram area they span.
How it is written
a×b
A compact example
(1,0,0)×(0,1,0)=(0,0,1).
Other names and search terms
vector product.
Where this fits
When should you learn Cross product?
The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.
- 1Pre-high schoolPrepare foundations
- 2High schoolUsually introduced
- 3CollegeGreater depth
- 4AdvancedGreater depth
- Vectors
- Linear algebra
- Algebra
- Coordinates
- Functions
- Transformations
- Eigenvalues
- State spaces
States and operators are represented using vectors, matrices and linear transformations.
Open the Zero-to-QM pathClear answers
Questions about Cross product
What does Cross product mean in mathematics?
A three-dimensional vector perpendicular to two input vectors, with magnitude equal to the parallelogram area they span.
How is Cross product written?
A common notation is a×b.
What is an example of Cross product?
(1,0,0)×(0,1,0)=(0,0,1).